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21,872

21,872 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).
Deficient Number Odious Number Pernicious Number Recamán's Sequence

Properties

Parity
Even
Digit count
5
Digit sum
20
Digit product
224
Digital root
2
Palindrome
No
Bit width
15 bits
Reversed
27,812
Recamán's sequence
a(168,019) = 21,872
Square (n²)
478,384,384
Cube (n³)
10,463,223,246,848
Divisor count
10
σ(n) — sum of divisors
42,408
φ(n) — Euler's totient
10,928
Sum of prime factors
1,375

Primality

Prime factorization: 2 4 × 1367

Nearest primes: 21,871 (−1) · 21,881 (+9)

Divisors & multiples

All divisors (10)
1 · 2 · 4 · 8 · 16 · 1367 · 2734 · 5468 · 10936 (half) · 21872
Aliquot sum (sum of proper divisors): 20,536
Factor pairs (a × b = 21,872)
1 × 21872
2 × 10936
4 × 5468
8 × 2734
16 × 1367
First multiples
21,872 · 43,744 (double) · 65,616 · 87,488 · 109,360 · 131,232 · 153,104 · 174,976 · 196,848 · 218,720

Sums & aliquot sequence

As consecutive integers: 668 + 669 + … + 699
Aliquot sequence: 21,872 20,536 20,504 21,616 26,496 53,064 106,056 189,144 344,376 588,504 1,162,536 1,796,664 2,695,056 5,887,728 15,718,032 32,274,432 67,381,488 — unresolved within range

Representations

In words
twenty-one thousand eight hundred seventy-two
Ordinal
21872nd
Binary
101010101110000
Octal
52560
Hexadecimal
0x5570
Base64
VXA=
One's complement
43,663 (16-bit)
In other bases
ternary (3) 1010000002
quaternary (4) 11111300
quinary (5) 1144442
senary (6) 245132
septenary (7) 120524
nonary (9) 33002
undecimal (11) 15484
duodecimal (12) 107a8
tridecimal (13) 9c56
tetradecimal (14) 7d84
pentadecimal (15) 6732

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵καωοβʹ
Mayan (base 20)
𝋢·𝋮·𝋭·𝋬
Chinese
二萬一千八百七十二
Chinese (financial)
貳萬壹仟捌佰柒拾貳
In other modern scripts
Eastern Arabic ٢١٨٧٢ Devanagari २१८७२ Bengali ২১৮৭২ Tamil ௨௧௮௭௨ Thai ๒๑๘๗๒ Tibetan ༢༡༨༧༢ Khmer ២១៨៧២ Lao ໒໑໘໗໒ Burmese ၂၁၈၇၂

Digit at this position in famous constants

π — Pi (π)
Digit 21,872 = 1
e — Euler's number (e)
Digit 21,872 = 4
φ — Golden ratio (φ)
Digit 21,872 = 9
√2 — Pythagoras's (√2)
Digit 21,872 = 3
ln 2 — Natural log of 2
Digit 21,872 = 9
γ — Euler-Mascheroni (γ)
Digit 21,872 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 21872, here are decompositions:

  • 13 + 21859 = 21872
  • 31 + 21841 = 21872
  • 73 + 21799 = 21872
  • 199 + 21673 = 21872
  • 211 + 21661 = 21872
  • 223 + 21649 = 21872
  • 271 + 21601 = 21872
  • 283 + 21589 = 21872

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-5570
U+5570
Other letter (Lo)

UTF-8 encoding: E5 95 B0 (3 bytes).

Hex color
#005570
RGB(0, 85, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.85.112.

Address
0.0.85.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.85.112

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000021872
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 21872 first appears in π at position 18,811 of the decimal expansion (the 18,811ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.